@Article{JPDE-24-351, author = {}, title = {Symmetry and Uniqueness of Solutions of an Integral System}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {4}, pages = {351--360}, abstract = {

In this paper, we study the positive solutions for a class of integral systems and prove that all the solutions are radially symmetric and monotonically decreasing about some point. Moreover, we also obtain the uniqueness result for a special case. We use a new type of moving plane method introduced by Chen-Li-Ou [1]. Our new ingredient is the use of Hardy-Littlewood-Sobolev inequality instead of Maximum Principle.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n4.6}, url = {http://global-sci.org/intro/article_detail/jpde/5216.html} }